PIRSA:22100039 Conference Quantum Gravity

DOI10.48660/22100039

Conference/School: Quantum Gravity Around the Corner

(2022). Carroll symmetry in gravity and string theory. Perimeter Institute. https://pirsa.org/22100039

Carroll symmetry in gravity and string theory. Perimeter Institute, Oct. 04, 2022, https://pirsa.org/22100039 

@misc{ pirsa_PIRSA:22100039,
  doi = {10.48660/22100039},
  url = {https://pirsa.org/22100039},
  author = {},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Carroll symmetry in gravity and string theory},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {oct},
  note = {PIRSA:22100039 see, \url{https://pirsa.org}}
}

Abstract

I will discuss the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. The leading order in the expansion leads to an action that corresponds to the electric Carroll limit of general relativity, of which I will highlight some interesting properties. The next-to-leading order will also be obtained, which exhibits a particular subsector that correspond to the magnetic Carroll limit, which features a solution that describes the Carroll limit of a Schwarzschild black hole. The incorporation of a cosmological constant in the Carroll (or ultra-local) expansion will also be commented on. Finally, I will describe how Carroll symmetry and geometry arises on the world-sheet of certain limits of string theory sigma models.

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